Results 1 to 10 of about 100 (73)
Bounds on normalized Laplacian eigenvalues of graphs
Let G be a simple connected graph of order n, where n≥2. Its normalized Laplacian eigenvalues are 0=λ1≤λ2≤⋯≤λn≤2. In this paper, some new upper and lower bounds on λn are obtained, respectively.
Jianxi Li, Ji-Ming Guo, W. Shiu
semanticscholar +2 more sources
Matrix Analysis for Continuous-Time Markov Chains
Continuous-time Markov chains have transition matrices that vary continuously in time. Classical theory of nonnegative matrices, M-matrices and matrix exponentials is used in the literature to study their dynamics, probability distributions and other ...
Le Hung V., Tsatsomeros M. J.
doaj +1 more source
Some inequalities for the Hadamard product of an M-matrix and an inverse M-matrix
Let A and B be nonsingular M-matrices. Some new lower bounds on the minimum eigenvalue q(A∘B−1) for the Hadamard product of A and B−1 are given. These bounds improve the corresponding results of Chen (Linear Algebra Appl.
Duanmei Zhou +3 more
semanticscholar +2 more sources
Serum concentrations of IL‐31 in dogs with nonpruritic mast cell tumours or lymphoma
Background The aim of this study was to compare serum interleukin (IL)‐31 concentrations in dogs with lymphoma and mast cell tumours (MCT) without pruritus to those of healthy dogs. Hypothesis/Objectives To determine if IL‐31 plays a role in tumour pathogenesis and if IL‐31 could be a biological marker for disease progression.
Nataliia Ignatenko +8 more
wiley +1 more source
The Number of P-Vertices of Singular Acyclic Matrices: An Inverse Problem
Let A be a real symmetric matrix. If after we delete a row and a column of the same index, the nullity increases by one, we call that index a P-vertex of A.
Du Zhibin, da Fonseca Carlos M.
doaj +1 more source
The improved disc theorems for the Schur complements of diagonally dominant matrices
The theory of Schur complement is very important in many fields such as control theory and computational mathematics. In this paper, applying the properties of Schur complement, utilizing some inequality techniques, some new estimates of diagonally ...
Juan Zhang, Jianzhou Liu, Gen Tu
semanticscholar +2 more sources
M-matrix and inverse M-matrix extensions
A class of matrices that simultaneously generalizes the M-matrices and the inverse M-matrices is brought forward and its properties are reviewed. It is interesting to see how this class bridges the properties of the matrices it generalizes and provides a
McDonald J.J. +6 more
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By applying the properties of Schur complement and some inequality techniques, some new estimates of diagonally dominant degree on the Schur complement of matrices are obtained, which improve the main results of Liu (SIAM J. Matrix Anal. Appl. 27:665-674,
Yaotang Li, Feng Wang
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Some new inequalities for the Hadamard product of M-matrices
If A and B are n×n nonsingular M-matrices, a new lower bound for the minimum eigenvalue τ(B∘A−1) for the Hadamard product of B and A−1 is derived. As a consequence, a new lower bound for the minimum eigenvalue τ(A∘A−1) for the Hadamard product of A and ...
Fu-bin Chen
semanticscholar +2 more sources
Background– Pseudomonas aeruginosa (PA) may cause suppurative otitis externa with severe inflammation and ulceration in dogs. Multidrug resistance is commonly reported for this organism, creating a difficult therapeutic challenge. Objective– The aim of this study was to evaluate the in vitro antimicrobial activity of a gel containing 0.5 µg/mL of ...
Giovanni Ghibaudo +6 more
wiley +1 more source

